for a two-sided alternative or \(T(t_j) \ge \)  or \(\le b_j\) ,
\(j=1,\ldots ,K\) , for a one-sided alternative, where \(b_j\) ,
\(j=1,\ldots ,K\) , are the stopping boundaries. As is well-studied in
the group sequential testing literature, the stopping boundaries
\(b_1,\ldots ,b_K\)  are
chosen to take into account multiple comparisons and ensure that the
resulting procedure preserves the desired overall type 1
error[1]}, [2]}, [3]}, [4]}. Standard
methods[2]}, [3]}, [4]} for deriving stopping boundaries
are based on the premise that the sequentially-computed test
statistics \(T(t_1),\ldots ,T(t_K)\)  have the so-called independent
increments structure[8]}, [9]}.
